Saturs
- Vispārīgais reizināšanas princips
- Reiziniet ar 0 XNUMX XNUMX
- Reiziniet ar 1 XNUMX XNUMX
- Reiziniet ar 2 XNUMX XNUMX
- Reiziniet ar 3 XNUMX XNUMX
- Reiziniet ar 4 XNUMX XNUMX
- Reiziniet ar 5 XNUMX XNUMX
- Reiziniet ar 6 XNUMX XNUMX
- Reiziniet ar 7 XNUMX XNUMX
- Reiziniet ar 8 XNUMX XNUMX
- Reiziniet ar 9 XNUMX XNUMX
- Reiziniet ar 10 XNUMX XNUMX
Reizināšana ir matemātiska darbība, ko var attēlot kā identisku terminu summu.
Vispārīgais reizināšanas princips
Piemēram, a ⋅ b (lasīt kā “a reizi b”) nozīmē, ka mēs summējam terminus a, kuru skaits ir vienāds ar b. Reizināšanas rezultātu sauc par reizinājumu.
piemēri:
- 2 ⋅ 6 = 2 + 2 + 2 + 2 + 2 + 2 = 12
(sešas reizes divas)
- 5 ⋅ 4 = 5 + 5 + 5 + 5 = 20
(četras reiz piecas)
- 3 ⋅ 8 = 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 = 24
(astoņas reizes trīs)
Kā zināms, no faktoru vietu permutācijas reizinājums nemainās. Iepriekš minētajiem piemēriem izrādās:
- 6 ⋅ 2 = 6 + 6 = 12
(divas reizes sešas)
- 4 ⋅ 5 = 4 + 4 + 4 + 4 + 4 = 20
(piecas reiz četras)
- 8 ⋅ 3 = 8 + 8 + 8 = 24
(trīs reizes astoņi)
Praktiski ieguvumi
Pateicoties reizināšanai, jūs varat ievērojami samazināt viena veida vienību kopējo skaitu utt. Piemēram, ja mums ir 7 iepakojumi, no kuriem katrā ir 5 pildspalvas, tad kopējo pildspalvu skaitu iegūst, reizinot šīs divi cipari:
5 ⋅ 7 = 5 + 5 + 5 + 5 + 5 + 5 + 5 = 35
(piecas pildspalvas septiņas reizes)
Reiziniet ar 0 XNUMX XNUMX
Rezultāts vienmēr ir nulle.
- 0 ⋅ 0 = 0
- 1 ⋅ 0 = 0 ⋅ 1 = 0
- 2 ⋅ 0 = 0 ⋅ 2 = 0 + 0 = 0
- 3 ⋅ 0 = 0 ⋅ 3 = 0 + 0 + 0 = 0
- 4 ⋅ 0 = 0 ⋅ 4 = 0 + 0 + 0 + 0 = 0
- 5 ⋅ 0 = 0 ⋅ 5 = 0 + 0 + 0 + 0 + 0 = 0
- 6 ⋅ 0 = 0 ⋅ 6 = 0 + 0 + 0 + 0 + 0 + 0 = 0
- 7 ⋅ 0 = 0 ⋅ 7 = 0 + 0 + 0 + 0 + 0 + 0 + 0 = 0
- 8 ⋅ 0 = 0 ⋅ 8 = 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 = 0
- 9 ⋅ 0 = 0 ⋅ 9 = 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 = 0
- 10 ⋅ 0 = 0 ⋅ 10 = 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 = 0
Reiziniet ar 1 XNUMX XNUMX
Produkts ir vienāds ar citu reizinātāju, kas nav viens.
- 1 ⋅ 1 = 1
- 2 ⋅ 1 = 2 ⋅ 1 = 2
- 3 ⋅ 1 = 3 ⋅ 1 = 3
- 4 ⋅ 1 = 4 ⋅ 1 = 4
- 5 ⋅ 1 = 5 ⋅ 1 = 5
- 6 ⋅ 1 = 6 ⋅ 1 = 6
- 7 ⋅ 1 = 7 ⋅ 1 = 7
- 8 ⋅ 1 = 8 ⋅ 1 = 8
- 9 ⋅ 1 = 9 ⋅ 1 = 9
- 10 ⋅ 1 = 10 ⋅ 1 = 10
Reiziniet ar 2 XNUMX XNUMX
Pievienojiet pirmo faktoru sev.
- 1 ⋅ 2 = 1 + 1 = 2
- 2 ⋅ 2 = 2 + 2 = 4
- 3 ⋅ 2 = 3 + 3 = 6
- 4 ⋅ 2 = 4 + 4 = 8
- 5 ⋅ 2 = 5 + 5 = 10
- 6 ⋅ 2 = 6 + 6 = 12
- 7 ⋅ 2 = 7 + 7 = 14
- 8 ⋅ 2 = 8 + 8 = 16
- 9 ⋅ 2 = 9 + 9 = 18
- 10 ⋅ 2 = 10 + 10 = 20
Reiziniet ar 3 XNUMX XNUMX
Pirmo koeficientu reizinām ar 2, pēc tam pievienojam rezultātam.
- 1 ⋅ 3 = (1 ⋅ 2) + 1 = 2 + 1 = 3
- 2 ⋅ 3 = (2 ⋅ 2) + 2 = 4 + 2 = 6
- 3 ⋅ 3 = (3 ⋅ 2) + 3 = 6 + 3 = 9
- 4 ⋅ 3 = (4 ⋅ 2) + 4 = 8 + 4 = 12
- 5 ⋅ 3 = (5 ⋅ 2) + 5 = 10 + 5 = 15
- 6 ⋅ 3 = (6 ⋅ 2) + 6 = 12 + 6 = 18
- 7 ⋅ 3 = (7 ⋅ 2) + 7 = 14 + 7 = 21
- 8 ⋅ 3 = (8 ⋅ 2) + 8 = 16 + 8 = 24
- 9 ⋅ 3 = (9 ⋅ 2) + 9 = 18 + 9 = 27
- 10 ⋅ 3 = (10 ⋅ 2) + 10 = 20 + 10 = 30
Reiziniet ar 4 XNUMX XNUMX
Divkāršotajam pirmajam koeficientam pievienojam tādu pašu summu.
- 1 ⋅ 4 = (1 ⋅ 2) + (1 ⋅ 2) = 2 + 2 = 4
- 2 ⋅ 4 = (2 ⋅ 2) + (2 ⋅ 2) = 4 + 4 = 8
- 3 ⋅ 4 = (3 ⋅ 2) + (3 ⋅ 2) = 6 + 6 = 12
- 4 ⋅ 4 = (4 ⋅ 2) + (4 ⋅ 2) = 8 + 8 = 16
- 5 ⋅ 4 = (5 ⋅ 2) + (5 ⋅ 2) = 10 + 10 = 20
- 6 ⋅ 4 = (6 ⋅ 2) + (6 ⋅ 2) = 12 + 12 = 24
- 7 ⋅ 4 = (7 ⋅ 2) + (7 ⋅ 2) = 14 + 14 = 28
- 8 ⋅ 4 = (8 ⋅ 2) + (8 ⋅ 2) = 16 + 16 = 32
- 9 ⋅ 4 = (9 ⋅ 2) + (9 ⋅ 2) = 18 + 18 = 36
- 10 ⋅ 4 = (10 ⋅ 2) + (10 ⋅ 2) = 20 + 20 = 40
Reiziniet ar 5 XNUMX XNUMX
Ja otrs reizinātājs ir pāra skaitlis, rezultāts beigsies ar nulli, ja nepāra, ar skaitli 5.
- 1 ⋅ 5 = 5 ⋅ 1 = 5
- 2 ⋅ 5 = 5 ⋅ 2 = 5 + 5 = 10
- 3 ⋅ 5 = 5 ⋅ 3 = (5 ⋅ 2) + 5 = 15
- 4 ⋅ 5 = 5 ⋅ 4 = (5 ⋅ 2) + (5 ⋅ 2) = 20
- 5 ⋅ 5 = 5 + 5 + 5 + 5 + 5 = 25
- 6 ⋅ 5 = 5 ⋅ 6 = (5 ⋅ 5) + 5 = 30
- 7 ⋅ 5 = 5 ⋅ 7 = 5 + 5 + 5 + 5 + 5 + 5 + 5 = 35
- 8 ⋅ 5 = 5 ⋅ 8 = (5 ⋅ 4) + (5 ⋅ 4) = 40
- 9 ⋅ 5 = 5 ⋅ 9 = (5 ⋅ 10) – 5 = 45
- 10 ⋅ 5 = 5 ⋅ 10 = 50
Reiziniet ar 6 XNUMX XNUMX
Mēs reizinām pirmo koeficientu ar 5, pēc tam pievienojam tam rezultātu.
- 1 ⋅ 6 = (1 ⋅ 5) + 1 = 5 + 1 = 6
- 2 ⋅ 6 = (2 ⋅ 5) + 2 = 10 + 2 = 12
- 3 ⋅ 6 = (3 ⋅ 5) + 3 = 15 + 3 = 18
- 4 ⋅ 6 = (4 ⋅ 5) + 4 = 20 + 4 = 24
- 5 ⋅ 6 = (5 ⋅ 5) + 5 = 25 + 5 = 30
- 6 ⋅ 6 = (6 ⋅ 5) + 6 = 30 + 6 = 36
- 7 ⋅ 6 = (7 ⋅ 5) + 7 = 35 + 7 = 42
- 8 ⋅ 6 = (8 ⋅ 5) + 8 = 40 + 8 = 48
- 9 ⋅ 6 = (9 ⋅ 5) + 9 = 45 + 9 = 54
- 10 ⋅ 6 = (10 ⋅ 5) + 10 = 50 + 10 = 60
Reiziniet ar 7 XNUMX XNUMX
Nav vienkāršota algoritma reizināšanai ar 7, tāpēc mēs izmantojam metodes, kas piemērojamas citiem faktoriem.
- 1 ⋅ 7 = 7 ⋅ 1 = 7
- 2 ⋅ 7 = 7 ⋅ 2 = 7 + 7 = 14
- 3 ⋅ 7 = 7 ⋅ 3 = (7 ⋅ 2) + 7 = 21
- 4 ⋅ 7 = 7 ⋅ 4 = (7 ⋅ 2) + (7 ⋅ 2) = 28
- 5 ⋅ 7 = 7 ⋅ 5 = 7 + 7 + 7 + 7 + 7 = 35
- 6 ⋅ 7 = 7 ⋅ 6 = (7 ⋅ 5) + 7 = 42
- 7 ⋅ 7 = 7 + 7 + 7 + 7 + 7 + 7 + 7 = 49
- 8 ⋅ 7 = 7 ⋅ 8 = (7 ⋅ 4) + (7 ⋅ 4) = 56
- 9 ⋅ 7 = 7 ⋅ 9 = (7 ⋅ 10) – 7 = 63
- 10 ⋅ 7 = 70
Reiziniet ar 8 XNUMX XNUMX
Mēs reizinām pirmo koeficientu ar 4, pēc tam pievienojam rezultātam tādu pašu summu.
- 1 ⋅ 8 = (1 ⋅ 4) + (1 ⋅ 4) = 8
- 2 ⋅ 8 = (2 ⋅ 4) + (2 ⋅ 4) = 16
- 3 ⋅ 8 = (3 ⋅ 4) + (3 ⋅ 4) = 24
- 4 ⋅ 8 = (4 ⋅ 4) + (4 ⋅ 4) = 32
- 5 ⋅ 8 = (5 ⋅ 4) + (5 ⋅ 4) = 40
- 6 ⋅ 8 = (6 ⋅ 4) + (6 ⋅ 4) = 48
- 7 ⋅ 8 = (7 ⋅ 4) + (7 ⋅ 4) = 56
- 8 ⋅ 8 = (8 ⋅ 4) + (8 ⋅ 4) = 64
- 9 ⋅ 8 = (9 ⋅ 4) + (9 ⋅ 4) = 72
- 10 ⋅ 8 = (10 ⋅ 4) + (10 ⋅ 4) = 80
Reiziniet ar 9 XNUMX XNUMX
Mēs reizinām pirmo koeficientu ar 10 un pēc tam atņemam to no iegūtā rezultāta.
- 1 ⋅ 9 = (1 ⋅ 10) - 1 = 10 - 1 = 9
- 2 ⋅ 9 = (2 ⋅ 10) - 2 = 20 - 2 = 18
- 3 ⋅ 9 = (3 ⋅ 10) - 3 = 30 - 3 = 27
- 4 ⋅ 9 = (4 ⋅ 10) - 4 = 40 - 4 = 36
- 5 ⋅ 9 = (5 ⋅ 10) - 5 = 50 - 5 = 45
- 6 ⋅ 9 = (6 ⋅ 10) - 6 = 60 - 6 = 54
- 7 ⋅ 9 = (7 ⋅ 10) - 7 = 70 - 7 = 63
- 8 ⋅ 9 = (8 ⋅ 10) - 8 = 80 - 8 = 72
- 9 ⋅ 9 = (9 ⋅ 10) - 9 = 90 - 9 = 81
- 10 ⋅ 9 = (10 ⋅ 10) - 10 = 100 - 10 = 90
Reiziniet ar 10 XNUMX XNUMX
Pievienojiet nulli otra reizinātāja beigām.
- 1 ⋅ 10 = 10 ⋅ 1 = 10
- 2 ⋅ 10 = 10 ⋅ 2 = 20
- 3 ⋅ 10 = 10 ⋅ 3 = 30
- 4 ⋅ 10 = 10 ⋅ 4 = 40
- 5 ⋅ 10 = 10 ⋅ 5 = 50
- 6 ⋅ 10 = 10 ⋅ 6 = 60
- 7 ⋅ 10 = 10 ⋅ 7 = 70
- 8 ⋅ 10 = 10 ⋅ 8 = 80
- 9 ⋅ 10 = 10 ⋅ 9 = 90
- 10 ⋅ 10 = 10 ⋅ 10 = 100